3602064960 has 672 divisors, whose sum is σ = 14378757120. Its totient is φ = 820740096.

The previous prime is 3602064931. The next prime is 3602064967. The reversal of 3602064960 is 694602063.

3602064960 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 0 + 649 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3602064967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40472596 + ... + 40472684.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^3602064960 is an apocalyptic number.

3602064960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3602064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

3602064960 is an abundant number, since it is smaller than the sum of its proper divisors (10776692160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3602064960 is a wasteful number, since it uses less digits than its factorization.

3602064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3602064960 is about 60017.2055330803. The cubic root of 3602064960 is about 1532.9118455033.

The spelling of 3602064960 in words is "three billion, six hundred two million, sixty-four thousand, nine hundred sixty".